Mathematics

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B is equal to :

  1. 145°

  2. 135°

  3. 155°

  4. 35°

Rectilinear Figures

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Answer

Diagonals of a quadrilateral ABCD bisect each other. If ∠A = 35°, then ∠B is equal to Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

A quadrilateral whose diagonals bisect each other is a Parallelogram. ​

Since ∠A and ∠B are adjacent angles they are supplementary,

∠A + ∠B = 180°

35° + ∠B = 180°

∠B = 180° - 35°

∠B = 145°.

Hence, option 1 is the correct option.

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